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Area of Science:

  • Soft Matter Physics
  • Computational Materials Science

Background:

  • Nematic liquid crystals exhibit unique properties when confined in geometric shapes.
  • Understanding their behavior requires bridging particle-based and continuum simulation methods.

Purpose of the Study:

  • To simulate and analyze confined nematic liquid crystals within 2D polygons using the N-MPCD algorithm.
  • To compare particle-based N-MPCD simulations with continuum Landau-de Gennes theory.
  • To investigate the influence of polygon size and nematicity on liquid crystal behavior and defect dynamics.

Main Methods:

  • Utilized the particle-based stochastic multi-particle collision dynamics (N-MPCD) algorithm.
  • Simulated nematic liquid crystals confined in regular 2D polygons (squares, pentagons, hexagons).
  • Employed closure arguments to map N-MPCD parameters to the Landau-de Gennes framework.

Main Results:

  • N-MPCD averaged configurations agree with Landau-de Gennes theory for larger polygons.
  • Relaxation dynamics in N-MPCD show kinetic traps analogous to Landau-de Gennes saddle points.
  • Finite-size effects in N-MPCD slow down and attract nematic defects to polygon vertices.

Conclusions:

  • The study provides a comprehensive comparison between particle-based (N-MPCD) and continuum (Landau-de Gennes) methods for confined nematics.
  • N-MPCD simulations validate continuum theory predictions and offer insights into nanoscale phenomena.
  • Findings are crucial for developing advanced multiscale theories in soft matter physics.